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alexdok [17]
3 years ago
10

Use the angle relationship in the figure below to solve for x. Assume that lines a and b are parallel and the given angles are g

iven in degrees.

Mathematics
1 answer:
Daniel [21]3 years ago
4 0

9514 1404 393

Answer:

  x = 5°

Step-by-step explanation:

The marked angles are "alternate exterior angles," hence congruent.

  2x +90° = x +95°

  x = 5° . . . . . . . . . . . . subtract (x+90°) from both sides

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What are the correct answers?
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3 years ago
For the accompanying data set, draw a scatter diagram of the data.x 2 6 6 7 9y 3 2 6 9 5B. by hand compute the correlation coeff
zhenek [66]

Answer:

Step-by-step explanation:

Hello!

a.

Given the data corresponding the variables:

x 2 6 6 7 9

y 3 2 6 9 5

The Scatterplot is attached.

b.

To compute the correlation coefficient you need several auxiliary calculations:

∑X= 30

∑X²= 206

∑Y= 25

∑Y²= 155

∑XY= 162

r= \frac{sumXY-\frac{(sumX)(sumY)}{n} }{\sqrt{[sumX^2-\frac{(sumX)^2}{n} ][sumY^2-\frac{(sumY)^2}{n} ]} }

r= \frac{162-\frac{(30)*(25)}{5} }{\sqrt{[206-\frac{(30)^2}{5} ][155-\frac{(25)^2}{5} ]} }

r= 0.429 ≅ 0.43

c.

The critical value for r has n-2 degrees of freedom, let's say for example you have α:0.05

r_{n-2;\alpha  } = r_{3;0.05 } = 0.878

For a two-tailed test.

Because the correlation coefficient is <u>positive</u> and the absolute value of the correlation coefficient, _<u>0.43</u>___, is <u>not greater</u> than the critical value for this data set,_<u>0.878</u>__, <u>no </u>linear relationship exists between x and y.

I hope it helps!

4 0
3 years ago
Find the base in the following problem.<br> 10% of ___ is 81. <br> 8.1<br> 81<br> 810<br> 8100
koban [17]
10% of 810 is 81

Hope it helps :)
8 0
4 years ago
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